2.2.87 Derivatives and Differentials

Condition: Calculate the value of private derivatives of the function \ (z (x, y) \), which is implicitly, at this point \ (m_ {0} \ left (x_ {0}, y_ {0}, z_ {0} \ right) \) with an accuracy of a comma. \ [\ cos ^{2} x+\ cos ^{2} y+\ cos ^{2} z = \ frac {3} {2}, \ quad m_ {0} \ left (\ frac {4}, \ frac {3 \ pi} {4}, \ frac {\ pi} {4} \ right) \ text {. } \]